Probability Q (1 Viewer)

Master E

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There are 4 red and 3 black discs. Sophie and Emma are playing a game in which they take turns drawing a disc and replacing it.

To win the game, Sophie must draw a red disc and for Emma to win she must draw a black disc.

They continue taking turns until there is a winner. Sophie goes first.

What's the prob that Sophie wins the game?

Im getting 28/37 by summing an infinite series. Is this right?

Thanks
 

cineti970128

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yes you are right

could you show your working out how you got up to there
 

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